Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -1.395°C and 0°C. P( – 1.395 < Z < 0) = |
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- Assume that you have a sample of n. = 8, with the sample mean X. = 46), and a sample standard deviation of S. - 6, and you have an Independent sample of n₂ = 14 from another population with a sample mean of X, -36, and the sample standard deviation S₂ = 8. Construct a 95% confidiace interval estimate of the population mean difference between µ, and µ. Assume that the two population variances are equal. SM-1250 H2 [Round to two decimal places as needed.) futboAssume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.A single thermometer is randomly selected and tested. Let ZZ represent the reading of this thermometer at freezing. What reading separates the highest 15.55% from the rest? That is, if P(z>c)=0.1555, find c. C= ________ CelciusA normal population has mean =μ22 and standard deviation =σ16 . Find the values that separate the middle 60% of the population from the top and bottom 20% . The values that separate the middle 60% of the population above from the top and bottom 20% are and . Enter the answers in ascending order and round to one decimal place.
- Suppose X has a normal distribution with a mean of 1000 and a standard deviation of 200. Find the value “a” such that Pr ( 650 < X < a) = 0.1.Suppose that the heart beat per minute (bpm) of adult males has a normal distribution with a mean of μ = 72.9 bpm and a standard deviation of o=11.4 bpm. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) ≤0.01 and a value is significantly low if P(x or less) ≤0.01. Find the pulse rates for males that separate significant pulse rates from those that are not significant. Using these criteria, is a male pulse rate of 90 beats per minute significantly high? RICHIED Find the heart rate (in bpm) separating significant values from those that are not significant. A heart rate with a bpm more than and less than are not significant, and values outside that range are considered significant.Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. The probability is 0.6844. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. The probability is 0.9918. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? ○ A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. ○ B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. ○ C. Since the mean pulse rate…
- Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.1904, find b.Assume that X is normally distributed with a mean of 3 and a standard deviation of 4. Determine the value for x that solves each of the following equations. P(xAssume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.501°C and -1.165°C.P(−2.501<Z<−1.165)IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = 1Q of an individual. (a) Find the z-score for an IQ of 97, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 97. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- Score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value Click and drag the arrows to adjust the values. -1 3 4 -1.5 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. BIUX, x' C 次四 Edit. Insert - Formats - Σ ΣΗAssume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. The probability is 0.6844. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. The probability is (Round to four decimal places as needed.)Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)SEE MORE QUESTIONS
